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D( x )
x-3 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:3) U (3:+oo)
7/(x-3)+5*x = 0
7/(x-3)+(5*x*(x-3))/(x-3) = 0
5*x*(x-3)+7 = 0
5*x^2-15*x+7 = 0
5*x^2-15*x+7 = 0
5*x^2-15*x+7 = 0
DELTA = (-15)^2-(4*5*7)
DELTA = 85
DELTA > 0
x = (85^(1/2)+15)/(2*5) or x = (15-85^(1/2))/(2*5)
x = (85^(1/2)+15)/10 or x = (15-85^(1/2))/10
(x-((15-85^(1/2))/10))*(x-((85^(1/2)+15)/10)) = 0
((x-((15-85^(1/2))/10))*(x-((85^(1/2)+15)/10)))/(x-3) = 0
((x-((15-85^(1/2))/10))*(x-((85^(1/2)+15)/10)))/(x-3) = 0 // * x-3
(x-((15-85^(1/2))/10))*(x-((85^(1/2)+15)/10)) = 0
( x-((15-85^(1/2))/10) )
x-((15-85^(1/2))/10) = 0 // + (15-85^(1/2))/10
x = (15-85^(1/2))/10
( x-((85^(1/2)+15)/10) )
x-((85^(1/2)+15)/10) = 0 // + (85^(1/2)+15)/10
x = (85^(1/2)+15)/10
x in { (15-85^(1/2))/10, (85^(1/2)+15)/10 }
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